Table of Contents Author Guidelines Submit a Manuscript
Journal of Applied Mathematics
Volume 2013, Article ID 480965, 9 pages
http://dx.doi.org/10.1155/2013/480965
Research Article

Mixed Platoon Flow Dispersion Model Based on Speed-Truncated Gaussian Mixture Distribution

School of Civil and Transportation Engineering, South China University of Technology, Guangzhou 510641, China

Received 13 March 2013; Revised 11 May 2013; Accepted 11 May 2013

Academic Editor: Shuyu Sun

Copyright © 2013 Weitiao Wu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. G. M. Pacey, “The progress of a bunch of vehicles released from a traffic signal,” Research Note No. RN/2665/GMP, Road Research Laboraroty, Berkshire, UK, 1956. View at Google Scholar
  2. M. J. Grace and R. B. Potts, “A theory of the diffusion of traffic platoons,” Operation Research, vol. 12, pp. 255–275, 1964. View at Google Scholar
  3. D. I. Robertson, “TRANSYT—a network study tool,” RRL Report LR 253, Road Research Laboratory, Berkshire, UK, 1969. View at Google Scholar
  4. J. A. Hillier and R. W. Rothery, “The synchronization of traffic signals for minimum delay,” Transportation Science, vol. 1, pp. 81–93, 1967. View at Google Scholar
  5. “TRANSYT-7F User’s Manual Release 10 (TM),” 2006.
  6. P. B. Hunt, F. I. Robertson, R. D. Bretherton, and R. I. Winton, “SCOOT—a traffic responsive method of coordinating signals, RRL tool,” RRL Report LR 1041, Road Research Laboratory, Berkshire, UK, 1981. View at Google Scholar
  7. M. D. Hall, D. van Vliet, and L. G. Willumsen, “SATURN—a simulation/assignment model for the evaluation of traffic management schemes,” Traffic Engineering and Control, vol. 21, no. 4, pp. 168–176, 1980. View at Google Scholar · View at Scopus
  8. E. B. Lieberman and B. J. Andrews, “TRAFLO–a new tool to evaluate transportation management strategies,” Transportation Research Record, vol. 772, pp. 9–15, 1980, TRB, National Research Council, Washington, DC, USA. View at Google Scholar
  9. P. A. Seddon, “Another look at platoon dispersion: 3. The recurrence relationship,” Traffic Engineering and Control, vol. 13, no. 10, pp. 442–444, 1972. View at Google Scholar
  10. M. Tracz, “The prediction of platoon dispersion based on rectangular distribution of journey time,” Traffic Engineering and Control, vol. 16, no. 11, pp. 490–492, 1975. View at Google Scholar · View at Scopus
  11. A. Polus, “A study of travel time and reliability on arterial routes,” Transportation, vol. 8, no. 2, pp. 141–151, 1979. View at Publisher · View at Google Scholar · View at Scopus
  12. C. Liu and P. Yang, “Diffusion models of traffic platoon on signal-intersection and control of coordinated signals,” Journal of Tongji University (Nature Science Edition), vol. 24, no. 6, pp. 636–641, 1996. View at Google Scholar
  13. C. Q. Liu and P. K. Yang, “Diffusion model of density of traffic platoon and signal coordinated control,” China Journal of Highway and Transport, vol. 14, no. 1, pp. 89–91, 2001. View at Google Scholar · View at Scopus
  14. C. Q. Liu and P. K. Yang, “Modification of Grace's density diffusion model and its application,” Journal of Highway and Transportation Research and Development, vol. 18, no. 1, pp. 62–64, 2001. View at Google Scholar · View at Scopus
  15. D. H. Wang, F. Li, and X. M. Song, “A new platoon dispersion model and its application,” Journal of Jilin University (Engineering and Technology Edition), vol. 39, no. 4, pp. 891–896, 2009. View at Google Scholar · View at Scopus
  16. D. Wang, Y. Zhang, and Z. Wang, “Study of platoon dispersion models,” in Proceedings of the TRB Annual Meeting, Washington, DC, USA, 2003.
  17. M. Wei, W. Jin, and L. Shen, “A platoon dispersion model based on a truncated normal distribution of speed,” Journal of Applied Mathematics, vol. 2012, Article ID 727839, 13 pages, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  18. A. Manar and K. G. Baass, “Traffic platoon dispersion modeling on arterial streets,” Transportation Research Record, vol. 1566, pp. 49–53, 1996. View at Publisher · View at Google Scholar · View at Scopus
  19. G. C. K. Wong and S. C. Wong, “A multi-class traffic flow model—an extension of LWR model with heterogeneous drivers,” Transportation Research A, vol. 36, no. 9, pp. 827–841, 2002. View at Publisher · View at Google Scholar · View at Scopus
  20. J. A. Bonneson, M. P. Pratt, and M. A. Vandehey, “Predicting arrival flow profiles and platoon dispersion for urban street segments,” Transportation Research Record, vol. 2173, pp. 28–35, 2010. View at Publisher · View at Google Scholar · View at Scopus
  21. X. Cheng, “Distribution of vehicle free flow speeds based on Gaussian mixture model,” Journal of Highway and Transportation Research and Development, vol. 29, no. 8, pp. 132–135, 2012. View at Google Scholar
  22. J. Chen, T. Wang, C. Li, and C. Yuan, “Speed models of mixed traffic flow on bus-car and vehicle and analysis of traffic running state,” China Journal of Highway and Transport, vol. 25, no. 1, 2012. View at Google Scholar
  23. L. J. Yu, “Finite weibull mixture distribution model of VOT distribution forecasting,” China Journal of Highway and Transport, vol. 22, no. 4, pp. 96–101, 2009. View at Google Scholar · View at Scopus
  24. P. Tao, D. Wang, and S. Jin, “Mixed distribution model of vehicle headway,” Journal of Southwest Jiaotong University, vol. 46, no. 4, pp. 633–637, 2011. View at Publisher · View at Google Scholar · View at Scopus
  25. A. D. May, Traffic Flow Fundamentals, Prentice Hall, New York, NY, USA, 1990.
  26. N. H. Johnson and S. Kotz, Continuous Univariate Distributions, John Wiley & Sons, New York, NY, USA, 1970.
  27. Transit Capacity and Quality of Service Manual, Transportation Research Board, Washington, DC, USA, 2nd edition, 2003.